Theorems · Theorem · functional analysis
RCLike.inv_pos_of_pos
∀ {K : Type u_1} [inst : RCLike K] {z : K}, 0 < z → 0 < z⁻¹- Defined in
- Mathlib.Analysis.RCLike.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RCLike
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- RCLikestatement and proof · cited by 2,829
- RCLike.ofRealproof · cited by 350
- inv_pos_of_posproof · cited by 123
- RCLike.toPartialOrderstatement · cited by 106
- RCLike.ofReal_invproof · cited by 5
- RCLike.ofReal_posproof · cited by 3
- RCLike.pos_iff_exists_ofRealproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Complex.inv_natCast_cpow_ofReal_posproof · cited by 3
- RCLike.inv_posproof · cited by 0